Finding the Third Proportional to 82,810 and 178,733

Step by Step Solution

1. Step 1: Write the proportion equation
   82,810 : 178,733 = 178,733 : x
2. Step 2: Convert to fraction form
   82,810/178,733 = 178,733/x
3. Step 3: Cross multiply
   82,810x = 178,733 × 178,733
4. Step 4: Simplify right side
   82,810x = 31,945,485,289
5. Step 5: Solve for x
   x = 31,945,485,289/82,810
6. Step 6: Final answer
   x = 385,768.45